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APAL
2011
13 years 5 months ago
The provably total NP search problems of weak second order bounded arithmetic
We define a new NP search problem, the “local improvement” principle, about labellings of an acyclic, bounded-degree graph. We show that, provably in PV, it characterizes the...
Leszek Aleksander Kolodziejczyk, Phuong Nguyen, Ne...
COCO
1998
Springer
95views Algorithms» more  COCO 1998»
14 years 2 months ago
Resource-Bounded Measure
We present a notion of resource-bounded measure for P and other subexponential-time classes. This generalization is based on Lutz's notion of measure, but overcomes the limit...
Jack H. Lutz
STOC
2001
ACM
132views Algorithms» more  STOC 2001»
14 years 10 months ago
Edge isoperimetry and rapid mixing on matroids and geometric Markov chains
We show how to bound the mixing time and log-Sobolev constants of Markov chains by bounding the edge-isoperimetry of their underlying graphs. To do this we use two recent techniqu...
Ravi Montenegro, Jung-Bae Son
DCC
2006
IEEE
14 years 9 months ago
Asymptotic Nonlinearity of Boolean Functions
Boolean functions on the space Fm 2 are not only important in the theory of error-correcting codes, but also in cryptography. In these two cases, the nonlinearity of these functio...
François Rodier
CORR
2008
Springer
109views Education» more  CORR 2008»
13 years 10 months ago
Dependence Balance Based Outer Bounds for Gaussian Networks with Cooperation and Feedback
We obtain new outer bounds on the capacity regions of the two-user multiple access channel with generalized feedback (MAC-GF) and the two-user interference channel with generalize...
Ravi Tandon, Sennur Ulukus